To illustrate that it is possible to derive the HZPT \(R_{n,nh}\)  profile parameters in the context of baryonic effects from the halo model, we calculate them for the simple case of the mass function of [1]} (M200c) and NFW profile [2]} (with concentration \(c=5\)  for simplicity).
We approximate the impact of baryons on the HZPT parameters via “baryonified” profiles as modeled in [3]} (and constrained by X-ray data).
These profiles incorporate the presence of stellar mass and satellite galaxies, gas that has been pushed by feedback toward the edge of the halo, and the resulting response of the dark-matter profile to these changes (see Section 2 of [3]}).
We fix the free parameters of the baryon-matter profile to the best-fit values of [3]} corresponding to the “Model B-avrg” scenario: \(\eta _{\rm {cga}}=0.6\) , \(\eta _{\rm {star}}=0.32\)  for the stellar profile, and \(M_{c}=6.6 \times 10^{13} M_{\odot }/h\) , \(\mu =0.21\) , \(\theta _{\rm {ej}}=4\)  in the determination of the gas profile.
